The three-dimensional baroclinic quasigeostrophic flow model has been
widely used to study basic mechanisms in oceanic flows and climate dynamics.
In this paper, we consider this flow model under random wind forcing and
time-periodic fluctuations on fluid boundary (the air-sea surface). The
time-periodic fluctuations are due to periodic rotatios of the earth
and thus periodic exposure of the earth to the solar radiation. After
overcoming the difficulty due to the low regualrity of an associated
Ornstein-Uhlenbeck process, we establish the well-posedness of the
baroclinic quasigeostrophic flow model in the state space. Then we
demonstrate the existence of the random attractors, again in the state
space. We also discuss the relevance of out result to climate modeling.